Harmony Search Algorithms for Structural Design Optimization

herausgegeben von: Zong Woo Geem

Verlag: Springer Berlin Heidelberg

Buchreihe : Studies in Computational Intelligence

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

Various structures, such as buildings, bridges, and paved roads play an important role in our lives. However, these construction projects require large expenditures. Designing infrastructure cost-efficiently while satisfying all necessary design constraints is one of the most important and difficult tasks for a structural engineer. Traditionally, mathematical gradient-based optimization techniques have been applied to these designs. However, these gradient-based methods are not suitable for discrete design variables such as factory-made cross sectional area of structural members. Recently, researchers have turned their interest to phenomenon-mimicking optimization techniques because these techniques have proved able to efficiently handle discrete design variables. One of these techniques is harmony search, an algorithm developed from musical improvisation that has been applied to various structural design problems and has demonstrated cost-savings. This book gathers all the latest developments relating to the application of the harmony search algorithm in the structural design field in order for readers to efficiently understand the full spectrum of the algorithm’s potential and to easily apply the algorithm to their own structural problems. This book contains six chapters with the following subjects: standard harmony search algorithm and its applications by Lee; standard harmony search algorithm for steel frame design by Degertekin; adaptive harmony search algorithm and its applications by Saka and Hasançebi; harmony particle swarm algorithm and its applications by Li and Liu; hybrid algorithm of harmony search, particle swarm & ant colony for structural design by Kaveh and Talatahari; and parameter calibration of viscoelastic and damage functions by Mun and Geem.

Inhaltsverzeichnis

Frontmatter

Standard Harmony Search Algorithm for Structural Design Optimization

Abstract

Most engineering optimization algorithms are based on numerical linear and nonlinear programming methods that require substantial gradient information and usually seek to improve the solution in the neighborhood of a starting point. These algorithms, however, reveal a limited approach to complicated real-world optimization problems. If there is more than one local optimum in the problem, the result may depend on the selection of an initial point, and the obtained optimal solution may not necessarily be the global optimum. The computational drawbacks of numerical methods have forced researchers to rely on meta-heuristic algorithms based on simulations to solve optimization problems. This chapter describes a basic harmony search (HS) meta-heuristic algorithm-based approach for optimizing the size and configuration of structural systems with both discrete and continuous design variables. This basic HS algorithm is conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. Various truss examples, including large-scale trusses under multiple loading conditions, are introduced to demonstrate the effectiveness and robustness of the basic harmony search algorithm-based methods, as compared to existing structural optimization techniques. The results indicate that the HS technique is a powerful search and optimization method for solving structural engineering problems compared to conventional mathematical methods or genetic algorithm-based approaches.

Kang Seok Lee

Optimum Design of Steel Frames via Harmony Search Algorithm

Abstract

A harmony search algorithm is presented for optimum design of planar and space steel frames in this chapter. Harmony search (HS) is a meta-heuristic search method. It bases on the analogy between natural musical performance process and searching the solutions to optimization problems. The design algorithm aims to obtain minimum weight frames by selecting a standard set of steel sections. Strength constraints of AISC Load and Resistance Factor Design (LRFD) specification, displacement constraints and also size constraint for columns were imposed on frames. The effectiveness and robustness of harmony search algorithm, in comparison with genetic algorithm, simulated annealing and colony optimization based methods, were verified using three planar and two space steel frames. The comparisons showed that the harmony search algorithm yielded lighter designs for the presented examples.

S. O. Degertekin

Adaptive Harmony Search Algorithm for Design Code Optimization of Steel Structures

Abstract

In this chapter an improved version of harmony search algorithm called an adaptive harmony search algorithm is presented. The harmony memory considering rate and pitch adjusting rate are conceived as the two main parameters of the technique for generating new solution vectors. In the standard implementation of the technique, appropriate constant values are assigned to these parameters following a sensitivity analysis for each problem considered. The success of the optimization process is directly related to a chosen parameter value set. The adaptive harmony search algorithm proposed here incorporates a novel approach for adjusting these parameters automatically during the search for the most efficient optimization process. The efficiency of the proposed algorithm is numerically investigated using number of steel frameworks that are designed for minimum weight according to the provisions of various international steel design code specifications. The solutions obtained are compared with those of the standard algorithm as well as those of the other meta-heuristic search techniques. It is shown that the proposed algorithm improves performance of the technique and it renders unnecessary the initial selection of the harmony search parameters.

M. P. Saka, O. Hasançebi

Harmony Particle Swarm Algorithm for Structural Design Optimization

Abstract

This chapter introduces the application of an improved particle swarm algorithm to pin connected space structures. The algorithm is named harmony particle swarm optimization (HPSO), as it is based on harmony search schemes and the standard particle swarm algorithm. The efficiency of HPSO for pin connected structures with different variable types including continuous variables and discrete variables is compared with that of other intelligent algorithms, and the implementation of HPSO is presented in detail. An optimal result of a complex practical double-layer grid shell structure is presented to value the effectiveness of the HPSO.

Lijuan Li, Feng Liu

Hybrid Algorithm of Harmony Search, Particle Swarm and Ant Colony for Structural Design Optimization

Abstract

This chapter considers the implementation of the heuristic particle swarm ant colony optimization (HPSACO) methodology to find an optimum design of different types of structures. HPSACO is an efficient hybridized approach based on the harmony search scheme, particle swarm optimizer, and ant colony optimization. HPSACO utilizes a particle swarm optimization with a passive congregation algorithm as a global search, and the idea of ant colony approach worked as a local search. The harmony search-based mechanism is used to handle the variable constraints. In the discrete HPSACO, agents are allowed to select discrete values from the permissible list of cross sections. The efficiency of the HPSACO algorithm is investigated to find an optimum design of truss structures with continuous or discrete search domains and for frame structures with a discrete search domain. The results indicate that the HPSACO is a quite effective algorithm to find the optimum solution of structural optimization problems with continuous or discrete variables.

A. Kaveh, S. Talatahari

Determining Viscoelastic and Damage Properties Based on Harmony Search Algorithm

Abstract

This chapter documents the procedure for determining viscoelastic and damage properties using a harmony search (HS) algorithm that employs a heuristic algorithm based on an analogy with music phenomenon. To determine the viscoelastic material parameters, the steps involved in conducting the interconversion between frequency-domain and time-domain functions are outlined, based on the presmoothing of raw data using the HS algorithm. Thus, a Prony series representation of the fitted data can be obtained that includes the determination of the Prony series coefficients. To determine the damage properties of hot mix asphalt (HMA) concrete, a rate-type evolution law is applied for constructing the damage function of the HMA concrete. The damage function can be characterized by fitting experimental results using the HS algorithm. Results from laboratory tests of uniaxial specimens under axial tension at various strain rates are shown to be consistent with the rate-type model of evolution law.

Sungho Mun, Zong Woo Geem

Backmatter

Titel: Harmony Search Algorithms for Structural Design Optimization
herausgegeben von: Zong Woo Geem
Verlag: Springer Berlin Heidelberg
Electronic ISBN: 978-3-642-03450-3
Print ISBN: 978-3-642-03449-7
DOI: https://doi.org/10.1007/978-3-642-03450-3